Question

Find the slope at the point (1, √2) of the curve x^2+y^2=3.

​

Answer 1

Answer:

Step-by-step explanation:

The slope of a curve of  

y

=

f

(

x

)

at  

x

=

a

is  

f

'

(

a

)

.

Let us find the slope of  

f

(

x

)

=

x

3

−

x

+

2

at  

x

=

1

.

By taking the derivative,

f

'

(

x

)

=

3

x

2

−

1

By plugging in  

x

=

1

,

f

'

(

1

= 3 1 ) 2− 1 = 2

Hence, the slope is  2 .

Answer 2

Answer:

Step-by-step explanation: